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Finding the Fourth Proportional to 1,084.78, 1,626 and 535.78

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Solution

The fourth proportional to 1,084.78, 1,626 and 535.78 is: 803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.78 : 1,626 = 535.78 : x
  2. Step 2: Convert to fraction form
    1,084.78/1,626 = 535.78/x
  3. Step 3: Cross multiply
    1,084.78x = 1,626 × 535.78
  4. Step 4: Simplify right side
    1,084.78x = 871,178.28
  5. Step 5: Solve for x
    x = 871,178.28/1,084.78
  6. Step 6: Final answer
    x = 803.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.